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Finding the Fourth Proportional to 70,282.58, 96,989.13 and 38,451.13

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Solution

The fourth proportional to 70,282.58, 96,989.13 and 38,451.13 is: 53,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.58 : 96,989.13 = 38,451.13 : x
  2. Step 2: Convert to fraction form
    70,282.58/96,989.13 = 38,451.13/x
  3. Step 3: Cross multiply
    70,282.58x = 96,989.13 × 38,451.13
  4. Step 4: Simplify right side
    70,282.58x = 3,729,341,403.74
  5. Step 5: Solve for x
    x = 3,729,341,403.74/70,282.58
  6. Step 6: Final answer
    x = 53,062.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.